On zero energy states in graphene

Abstract

We obtain zero energy states in graphene for a number of potentials and discuss the relation of the decoupled Schrödinger-like equations for the the spinor components with non relativistic $\mathcal{P}\mathcal{T}$ symmetric quantum mechanics.

4 pages, 2 figures. Presentation improved, two figures added, references updated

References in corpus (8)

• Electric Field Effect in Atomically Thin Carbon Films
• Electronic States of Graphene Nanoribbons
• Magnetic confinement of massless Dirac fermions in graphene
• New Generation of Massless Dirac Fermions in Graphene under External Periodic Potentials
• Multiple magnetic barriers in graphene
• Electrostatic confinement of electrons in an integrable graphene quantum dot
• Zero-energy states in corrugated bilayer graphene
• Zero-energy states and fragmentation of spin in the easy-plane antiferromagnet on a honeycomb lattice

Cited by in corpus (5)

• Super-Klein tunneling of Dirac fermions through electrostatic gratings in graphene
• Construction of zero energy states in graphene through the supersymmetry formalism
• Bound states of the two-dimensional Dirac equation for an energy-dependent hyperbolic Scarf potential
• A New Class of Solvable Two-dimensional Scalar Potentials for Graphene
• Solvable Two-dimensional Dirac Equation with Matrix Potential: Graphene in External Electromagnetic Field